Potential Energy per unit width in one wave Calculator

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ]			+10% -10%
✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%
✖Wavelength refers to the distance between successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%

✖Potential energy per unit width refers to the amount of potential energy stored per unit distance along the width of a body or structure.ⓘ Potential Energy per unit width in one wave [PE]

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Formula

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Potential Energy per unit width in one wave

Formula

`"PE" = (1/16)*"ρ"*"[g]"*("H"^2)*"λ"`

Example

`"10.13609J/m"=(1/16)*"1.225kg/m³"*"[g]"*(("3m")^2)*"1.5m"`

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Potential Energy per unit width in one wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Potential Energy per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength
PE = (1/16)*ρ*[g]*(H^2)*λ
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Potential Energy per Unit Width - (Measured in Joule per Meter) - Potential energy per unit width refers to the amount of potential energy stored per unit distance along the width of a body or structure.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Wavelength - (Measured in Meter) - Wavelength refers to the distance between successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required
Wavelength: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PE = (1/16)*ρ*[g]*(H^2)*λ --> (1/16)*1.225*[g]*(3^2)*1.5

Evaluating ... ...

PE = 10.1360921484375

STEP 3: Convert Result to Output's Unit

10.1360921484375 Joule per Meter --> No Conversion Required

FINAL ANSWER

10.1360921484375 ≈ 10.13609 Joule per Meter <-- Potential Energy per Unit Width

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 6 Potential Energy Calculators

Wave Height given Potential Energy per Unit Width in One Wave

Go Wave Height = sqrt(Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength))

Surface elevation given potential energy due to deformation of free surface

Go Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength))

Wavelength for potential energy per unit width in one wave

Go Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)

Potential Energy per unit width in one wave

Go Potential Energy per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength

Length given potential energy due to deformation of free surface

Go Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2)

Potential energy due to deformation of free surface

Go Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2

Potential Energy per unit width in one wave Formula

Potential Energy per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength
PE = (1/16)*ρ*[g]*(H^2)*λ

Do waves have potential energy?

When particles in water become part of a wave, they start to move up or down. This means that some of their kinetic energy has been converted into potential energy – the energy of particles in a wave oscillates between kinetic and potential energy.

How to Calculate Potential Energy per unit width in one wave?

Potential Energy per unit width in one wave calculator uses Potential Energy per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength to calculate the Potential Energy per Unit Width, The Potential Energy per unit width in one wave associated with a wavelength of the wave is equal to the kinetic energy associated with a wavelength. The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy. Potential Energy per Unit Width is denoted by PE symbol.

How to calculate Potential Energy per unit width in one wave using this online calculator? To use this online calculator for Potential Energy per unit width in one wave, enter Density of Fluid (ρ), Wave Height (H) & Wavelength (λ) and hit the calculate button. Here is how the Potential Energy per unit width in one wave calculation can be explained with given input values -> 181.0982 = (1/16)*1.225*[g]*(3^2)*1.5.

FAQ

What is Potential Energy per unit width in one wave?

The Potential Energy per unit width in one wave associated with a wavelength of the wave is equal to the kinetic energy associated with a wavelength. The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy and is represented as PE = (1/16)*ρ*[g]*(H^2)*λ or Potential Energy per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength. Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & Wavelength refers to the distance between successive crests or troughs of a wave.

How to calculate Potential Energy per unit width in one wave?

The Potential Energy per unit width in one wave associated with a wavelength of the wave is equal to the kinetic energy associated with a wavelength. The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy is calculated using Potential Energy per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength. To calculate Potential Energy per unit width in one wave, you need Density of Fluid (ρ), Wave Height (H) & Wavelength (λ). With our tool, you need to enter the respective value for Density of Fluid, Wave Height & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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